The least value of $$\alpha \in R$$ for which $$4 \alpha x^2 + \frac{1}{x} \geq 1$$, for all x > 0, is

A

$$\frac{1}{64}$$

B

$$\frac{1}{32}$$

C

$$\frac{1}{27}$$

D

$$\frac{1}{25}$$